You could have removed the Queen with only two frames of brood. added a frame of honey/pollen, a frame with foundation or drawn comb. Give the parent hive 8 or 9 days then check it to make sure it didn't have queen cells, if so take them out. But that would have been another way to get a few queen cells to begin with. Unless you are choosing the grafting method over the other.

Some of the brood you moved will be hatched by that time. After you transfer the queen cells to where ever you are putting them you could return the frames. :) d2

It is my experience that queen cells must be in close proximity to heavy capped brood in orderfor the nurse bees to care for the cells. I never remove brood from my cell builder and never graft cells into frames unless they are surrounded by capped brood.